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SMO 2021 Senior Round 1 Question 1

SMO · SMO 2021 Senior Round 1

Question 1

Let $p$ be a real number such that the equation $x^2-10x=p$ has no real solution. Which of the following is true?
  1. $0\lt p\lt25$
  2. $p=25$
  3. $p>25$
  4. $p\lt-25$
  5. $-25\lt p\lt0$